Cohomology of the moduli of Higgs bundles and the Hausel-Thaddeus conjecture
ALGEBRAIC GEOMETRY AND NUMBER THEORY SEMINAR
Date
Thursday, October 29, 2020 14:00 - 15:30
Speaker
Davesh Maulik (MIT Mathematics)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
In this talk, I will discuss some results on the structure of the cohomology of the moduli space of stable SL_n Higgs bundles on a curve. One consequence is a new proof of he Hausel-Thaddeus conjecture proven previously by Groechenig-Wyss-Ziegler via p-adic integration. We will also discuss connections to the P=W conjecture if time permits. Based on joint work with Junliang Shen.